Integral 1/1-x^2 two ways

In this video, I compute an antiderivative of 1/(1-x^2) in two ways: 1) Using partial fractions and 2) Using hyperbolic trig substitution. From those two approaches I derive a really cool identity, which shows that you can derive mathematical identities not only using differentiation, but also using integration. Enjoy!

Note: Credit goes to footskills / Zach Lee for coming up with this idea, thank you so much for the suggestion and the main ideas!

• #education
• #calculus
• #integral
• #11_x2
• #11_x2
• #11_x2
• #hyperbolic
• #trig
• #substitution
• #partial_fractions
• #rational
• #identity
• #tanh
• #arctanh
• #antiderivative